100101101100010 has 16 divisors (see below), whose sum is σ = 180224588341800. Its totient is φ = 40030972359616.

The previous prime is 100101101099999. The next prime is 100101101100029. The reversal of 100101101100010 is 10001101101001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78074383512841 + 22026717587169 = 8835971^2 + 4693263^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100101101099966 and 100101101100002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183465645 + ... + 1183550224.

Almost surely, 2^{100101101100010} is an apocalyptic number.

100101101100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101101100010 is a deficient number, since it is larger than the sum of its proper divisors (80123487241790).

100101101100010 is a wasteful number, since it uses less digits than its factorization.

100101101100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367020105.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101101100010 its reverse (10001101101001), we get a palindrome (110102202201011).

Subtracting from 100101101100010 its reverse (10001101101001), we obtain a palindrome (90099999999009).

The spelling of 100101101100010 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred thousand, ten".